A line passes through the origin and has a slope of –3. What is the equation of the line that is perpendicular to the first line and passes through the point (3, 4)?

Question

anonymous · Answer

The slope of the line is the opposite recipricol of the first line: 1/3
now you have y=1/3x+b 
so you know the slope now just plug in x,y coordinate to the slope intercept form to find b
4=1/3(3)+b 4=1+b   b=3
So the equation is y=1/3x+3